163098 has 48 divisors (see below), whose sum is σ = 412776. Its totient is φ = 46080.

The previous prime is 163063. The next prime is 163109. The reversal of 163098 is 890361.

It can be written as a sum of positive squares in 4 ways, for example, as 91809 + 71289 = 303^2 + 267^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3958 + ... + 3998.

2^{163098} is an apocalyptic number.

163098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 163098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

163098 is an abundant number, since it is smaller than the sum of its proper divisors (249678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163098 is a wasteful number, since it uses less digits than its factorization.

163098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 163098 is about 403.8539339910. The cubic root of 163098 is about 54.6365009725.

It can be divided in two parts, 1630 and 98, that added together give a cube (1728 = 12^{3}).

The spelling of 163098 in words is "one hundred sixty-three thousand, ninety-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 41 51 78 82 102 117 123 153 221 234 246 306 369 442 533 663 697 738 1066 1326 1394 1599 1989 2091 3198 3978 4182 4797 6273 9061 9594 12546 18122 27183 54366 81549 163098

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